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Algebraic topology

Most popular at the top

  • Low Dimensional Topologyby Roger Fenn

    Cambridge University Press 1985; US$ 74.00

    In this volume, which is dedicated to H. Seifert, are papers based on talks given at the Isle of Thorns conference on low dimensional topology held in 1982. more...

  • Knot Theoryby Vassily Manturov

    CRC Press 2004; US$ 94.95

    Knot theory plays an importanat role in mathematics and this volume presents the main concepts of modern knot theory and applications together with full proofs so that it is accessible for undergraduates and is a useful reference for postgraduates, more...

  • Beyond Perturbation: Introduction to the Homotopy Analysisby Shijun Liao

    Chapman & Hall/CRC 2003; US$ 119.95

    Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. The author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is the first book to explore the details of this valuable new approach. more...

  • Shape Optimization and Optimal Designby John Cagnol; Micheal P. Polis; Jean-Paul Zolesio

    Marcel Dekker Inc 2001; US$ 229.95

    This volume presents developments and advances in modelling passive and active control systems governed by partial differential equations. It emphasizes shape analysis, optimal shape design, controllability, nonlinear boundary control, and stabilization. more...

  • The Shape of Spaceby Jeffrey R. Weeks

    Marcel Dekker Inc 2001; US$ 43.95

    This lighthearted text surveys the basic geometry of two- and three-dimensional spaces - stretching students' minds as they learn to visualize new possibilities for the shape of our universe. more...

  • Moving Shape Analysis and Controlby Marwan Moubachir

    CRC Press 2006; US$ 99.95

    Moubachir (INRA) and Zol sio (CNRS and INRIA, France) provide a mathematical analysis of problems related to the evolution of domains in two or three dimensions, as applied to engineering applications such as free surface flows, phase changes, fracture and contact problems, fluid-structure interaction in civil transport vehicles, stayed-cable bridg more...

  • Topological Degree Theory and Applicationsby Yu-Qing Chen

    CRC Press 2006; US$ 79.95

    Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications. The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Next, they explore the degree theory for condensing mappings, including applications to ODEs in Banach spaces. This is followed by a study of degree theory for A-proper mappings and its applications to semilinear operator equations with Fredholm... more...

  • Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite

    Elsevier 2005; US$ 175.00

    This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics more...

  • Central Simple Algebras and Galois Cohomologyby Philippe Gille; Tamás Szamuely; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak; B. Simon; B. Totaro

    Cambridge University Press 2006; US$ 90.00

    The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algebra, algebraic geometry or K-theory. more...

  • Representation Theory and Higher Algebraic K-Theoryby Aderemi Kuku

    CRC Press 2006; US$ 99.95

    Focusing on computations in representation theoretic setting, this book begins with a treatment of classical algebraic K-theory and then explores more advanced topics of higher algebraic K-theory. It also discusses Mackey functions and equivariant K-theory, integrating Lueck's equivaraint algebraic K-theory with Quillen algebraic theory. more...